Search a number
-
+
148046808 = 233713531279
BaseRepresentation
bin10001101001100…
…00001111011000
3101022120120001010
420310300033120
5300344444213
622405053520
73445243230
oct1064601730
9338516033
10148046808
1176628838
12416b72a0
1324896b80
141593acc0
15cee5ac3
hex8d303d8

148046808 has 128 divisors (see below), whose sum is σ = 464486400. Its totient is φ = 38278656.

The previous prime is 148046797. The next prime is 148046819. The reversal of 148046808 is 808640841.

148046808 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (148046797) and next prime (148046819).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115113 + ... + 116391.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2148046808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148046808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

148046808 is an abundant number, since it is smaller than the sum of its proper divisors (316439592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148046808 is a wasteful number, since it uses less digits than its factorization.

148046808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 148046808 is about 12167.4487054600. The cubic root of 148046808 is about 529.0130058754.

It can be divided in two parts, 14804 and 6808, that added together give a palindrome (21612).

The spelling of 148046808 in words is "one hundred forty-eight million, forty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 53 56 78 84 91 104 106 156 159 168 182 212 273 312 318 364 371 424 546 636 689 728 742 1092 1113 1272 1279 1378 1484 2067 2184 2226 2558 2756 2968 3837 4134 4452 4823 5116 5512 7674 8268 8904 8953 9646 10232 14469 15348 16536 16627 17906 19292 26859 28938 30696 33254 35812 38584 49881 53718 57876 66508 67787 71624 99762 107436 115752 116389 133016 135574 199524 203361 214872 232778 271148 349167 399048 406722 465556 474509 542296 698334 813444 881231 931112 949018 1396668 1423527 1626888 1762462 1898036 2643693 2793336 2847054 3524924 3796072 5287386 5694108 6168617 7049848 10574772 11388216 12337234 18505851 21149544 24674468 37011702 49348936 74023404 148046808